Zinedine Zidane rues Atletico Madrid's late leveller
Real Madrid went into the match with a two-point advantage at the La Liga summit and with a game in hand on all their title rivals.
Zidane’s side broke the deadlock at the Bernabeu moments after the half-time break when Pepe nodded in a free-kick from Toni Kroos.
But Atletico Madrid made Real pay for not killing off the match when Antoine Griezmann slotted in with just five minutes left.
Pepe scored opener for Real Madrid
And Zidane said: "We put in a great performance and deserved more, but we lacked a bit of concentration in the last five minutes.
"It's a tough game to read. We put in a great performance but with five minutes to go we lacked that bit of concentration.
"You couldn't say that Atletico put in a great performance, we certainly did, but we had to get that second goal, which would have given us that peace of mind.£
Antoine Griezmann scored late on for Atletico Madrid
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"We were then made to suffer and we didn't defend too well on one move and they are capable of making things tough for you.
"A second goal would have put us at ease. We had the chances to have got it. In the final minutes, we lacked that little bit extra in all areas.
"I do not think we lack physical, but concentration and defend together and with more energy."